Progress in partial differential equations : Pont-à-Mousson 1997

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書誌事項

Progress in partial differential equations : Pont-à-Mousson 1997

H. Amann, C. Bandle, M. Chipot, F. Conrad and I. Shafrir, editors

（Pitman research notes in mathematics series, 383-384）

Longman, 1998

  • v. 1
  • v. 2

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注記

Includes bibliographical references

"This book is a collection of texts from conferences that were given in Pont-à-Mousson in June 1997 during the Third European Conference on Elliptic and Parabolic Problems"--Pref

内容説明・目次

巻冊次

v. 1 ISBN 9780582317086

内容説明

The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

目次

of Volume 1 A Serrin Type Result for Infinite Cylinders Large-Time Behavior of One-Dimensional Two-Phase Stefan Problems Petits Parametres et Passges a la Limite dans les Problemes de Filtration Dephasique Periodic Solutions for a Doubly Nonlinear Diffusion Equation in Hydrology Regularity of the Fundamental Solution for the Monge-Ampere Operator Radial Symmetry for Non-Negative Solutions of Semilinear Elliptic Equations Involving the p-Laplacian Lagrange Multiplier Method and Nonlinear Elliptic Boundary Value Problems with Periodic Nonlinearity Parabolic Degenerate Nonlinear Equations in Image Processing Isoperimetric Inequalities for the Sums of Reciprocal Eigenvalues The Group Representation Theory and Vibrations of Cyclic Structures Remarks on Convergence of Evolving Graphs by Nonlocal Curvature Estimates for Explosive Solutions to p-Laplace Equations A Quadratic Form Inequality for Classes of Degenerate Elliptic Operators Area Integral Estimates for Solutions of Parabolic Equations Pseudodifferential Evolution Problems Stability of Rothe's Scheme and Maximal Regularity for Parabolic Equations in CqW Convergence des Solution Globales et Bornees de Quelques Problemes d'Evolution avec Nonlinearite Analytique Image Processing and Anisotropic Diffusion
巻冊次

v. 2 ISBN 9780582317093

内容説明

The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis. The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

目次

of Volume 2 On Solution Existence for Elastoplastic Plates with Cracks, A.M. Khludnev and J. Sokolowski The Boundary Trace of Positive Solutions of Semilinear Elliptic Equations, M. Marcus and L. Veron Blow Up of Critical and Subcritical Norms in Semilinear Heat Equations, J. Matos Periodic Phases in Second Order Materials and Higher Order Model Equations, V.J. Mizel, L.A. Peletier, and W. C. Troy On the Interior Regularity of Weak Solutions to Nonlinear Parabolic Systems in Two Spatial Dimensions, J. Naumann Some Remarks on Singular Degenerate Parabolic Equations including the p-Laplace Diffusion Equation, M. Ohnuma A Generalization of the Extended Fisher-Kolmogorov Equation with an Application to Pulse Propagation Along Optical Fibers, L.A. Peletier, A.I. Rotariu-Bruma and W.C. Troy Global Solutions in Parabolic Blow-Up Problems with Perturbations, P. Quittner Large-Time Behavior of Solutions to Phase Field Equations with Constraints Under Nonlinear Dynamic Boundary Conditions, N. Sato and T. Aiki Asymptotic Stability for Evolution Systems Associated with Phase Transition, K. Shirakawa, A. Ito, N. Yamazaki and N. Kenmochi Free Boundary Problems for Second Order Parabolic Equations, V.A. Solonnikov Some Results on Blow-Up for Nonlocal Reaction-Diffusion Equations, P. Souplet Strictly Convex Curves, Convex Hulls, and Surface of Positive Gauss Curvature, J. Spruck Global Bifurcations Results for Noncompact Operators on Unbounded Domains, N.M. Stavrakakis Multidimensional Traveling Waves in the Bistable Case, V.A. Volpert and A.I. Volpert Boundary Stabilization of the Equation of Kirchhoff Plates, W. Ali Existence Results in Lp -Lq spaces for Second Order Parabolic Equations with Inhomogeneous Dirichlet Boundary Conditions, P. Weidemaier Remarks to the Blow-Up profile of a Degenerate Parabolic Equation, M. Wiegner

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